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Katyanochek1 [597]
2 years ago
12

Boye cuts out a rectangle that has a perimeter of 26 inches and a length of 8 inches. He cuts out another rectangle that is the

same length and twice as wide.
Mathematics
1 answer:
Nikolay [14]2 years ago
5 0

The new dimensions of the new rectangle is length 8 inches and width 10 inches.

<h3>How to find width of a rectangle?</h3>

  • Perimeter = 26 inches
  • Length = 8 inches
  • Width = x inches

Perimeter of a rectangle = 2(length + width)

26 = 2(8 + x)

26 = 16 + 2x

26 - 16 = 2x

10 = 2x

x = 10/2

x = 5 inches

New rectangle

  • Same length = 8 inches

  • Twice wide = 2(5 inches)

= 10 inches

Therefore, the new dimensions of the new rectangle is length 8 inches and width 10 inches.

Learn more about perimeter of rectangle:

brainly.com/question/24571594

#SPJ1

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You are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 7.
Artyom0805 [142]
<h3>Answer:  -3.71</h3>

========================================================

Explanation:

You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.

If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.

In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.

In this row, locate the column labeled  "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707

Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71

4 0
3 years ago
Can someone help me with #3? Thanks!
labwork [276]
I hope this helps you

4 0
3 years ago
What does noncollinear
Anit [1.1K]

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

3 0
3 years ago
A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
abruzzese [7]

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

5 0
2 years ago
Read 2 more answers
Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.
avanturin [10]
In spherical coordinates, we have

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}

which gives volume element

\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

and so the triple integral is given by

\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV
=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta
=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi
=\dfrac{592\pi}{15}
4 0
4 years ago
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